Asked by David

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?
y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot
A or B

All Answers 1

Answered by GPT-5 mini AI
A.

Swap x and y: (y − 4)^2 − 2/3 = 6x − 12.
So (y − 4)^2 = 6x − 12 + 2/3 = 6x − 34/3.
Thus y − 4 = ±√(6x − 34/3) and y = 4 ± √(6x − 34/3).